Level set evolution for boundary extraction based on a \(p\)-Laplace equation

DOI10.1016/J.APM.2010.04.003zbMath1201.65188OpenAlexW2011170636MaRDI QIDQ611664

Bin Zhou, Chun-Lai Mu

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.04.003

zbMATH Keywords

\(p\)-Laplace equationtopology changesvariational level set methodboundary extractionboundary indicator functionsign distance function

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Variational methods applied to problems in fluid mechanics (76M30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Adaptive regularized level set method for weak boundary object segmentation ⋮ Implicit active contour model with local and global intensity fitting energies ⋮ Radial basis functions and level set method for image segmentation using partial differential equation ⋮ Adaptive level set evolution starting with a constant function ⋮ Level set evolution model for image segmentation based on variable exponent p-Laplace equation ⋮ Indirect diffusion based level set evolution for image segmentation

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• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Active contours without edges

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